Answer:
x=6
Step-by-step explanation:
The sum of the angles is a right angle, which is 90 degrees
5x+ x+54 = 90
Combine like terms
6x+54 = 90
Subtract 54 from each side
6x+54-54 = 90-54
6x = 36
Divide each side by 6
6x/6 = 36/6
x= 6
Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
Correct question is;
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, t minutes since she left home. What number type is more appropriate for the domain of d?
Answer:
0 ≤ t ≤ 17 ; (0, 17)
Step-by-step explanation:
We are told that she has walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.
Now, we want to find the domain of numbers that shows her remaining distance.
Since she spent 17 minutes, then it means in modeling remaining distance it could be from 0 to 17 minutes as the case may be. Thus, the domain can be written as;
0 ≤ t ≤ 17 ; (0, 17)
Answer:
1/81
Step-by-step explanation:
In h(x)=3^x, replace each instance of x with -4:
h(-4) = 3^(-4), or
1
h(-4) = ----------- = 1/81
3^4